Abstract
It is well established face that the role of viscosity and thermal conductivity is quite important in heat flow problems. It is commonly observed that both thermal features fluctuated for distinct flow constraints and different types of fluid flow. In most of continuations, the researchers presented the heat transfer phenomenon in view of constant viscosity. In current investigation, we have attributed the role of variable viscosity and thermal conductivity while assessing the heat transfer inspection for Casson fluid due to moving plate. The variable plastic dynamic viscosity is used to identify the heat transfer problem. The analysis is performed in view of slip effects. Moreover, the space dependent internal heat generation. The convective thermal conditions are taken into focus to observe the flow. After capturing the dimensionless form of problem, BVP4C numerical technique is used for computation process. The physical dynamic governs to the flow is tested with different parameters.